Extensions 1→N→G→Q→1 with N=C3 and Q=C2×S3×Dic3

Direct product G=N×Q with N=C3 and Q=C2×S3×Dic3
dρLabelID
S3×C6×Dic348S3xC6xDic3432,651

Semidirect products G=N:Q with N=C3 and Q=C2×S3×Dic3
extensionφ:Q→Aut NdρLabelID
C31(C2×S3×Dic3) = S32×Dic3φ: C2×S3×Dic3/S3×Dic3C2 ⊆ Aut C3488-C3:1(C2xS3xDic3)432,594
C32(C2×S3×Dic3) = C2×Dic3×C3⋊S3φ: C2×S3×Dic3/C6×Dic3C2 ⊆ Aut C3144C3:2(C2xS3xDic3)432,677
C33(C2×S3×Dic3) = C2×C339(C2×C4)φ: C2×S3×Dic3/C2×C3⋊Dic3C2 ⊆ Aut C348C3:3(C2xS3xDic3)432,692
C34(C2×S3×Dic3) = C2×S3×C3⋊Dic3φ: C2×S3×Dic3/S3×C2×C6C2 ⊆ Aut C3144C3:4(C2xS3xDic3)432,674

Non-split extensions G=N.Q with N=C3 and Q=C2×S3×Dic3
extensionφ:Q→Aut NdρLabelID
C3.1(C2×S3×Dic3) = C2×Dic3×D9φ: C2×S3×Dic3/C6×Dic3C2 ⊆ Aut C3144C3.1(C2xS3xDic3)432,304
C3.2(C2×S3×Dic3) = C2×C6.S32φ: C2×S3×Dic3/C2×C3⋊Dic3C2 ⊆ Aut C372C3.2(C2xS3xDic3)432,317
C3.3(C2×S3×Dic3) = C2×S3×Dic9φ: C2×S3×Dic3/S3×C2×C6C2 ⊆ Aut C3144C3.3(C2xS3xDic3)432,308

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